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Finding the Fourth Proportional to 571.90, 857.79 and 538.06

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Solution

The fourth proportional to 571.90, 857.79 and 538.06 is: 807.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.90 : 857.79 = 538.06 : x
  2. Step 2: Convert to fraction form
    571.90/857.79 = 538.06/x
  3. Step 3: Cross multiply
    571.90x = 857.79 × 538.06
  4. Step 4: Simplify right side
    571.90x = 461,542.49
  5. Step 5: Solve for x
    x = 461,542.49/571.90
  6. Step 6: Final answer
    x = 807.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.